Miranda Galcerán, EvaVu Ngoc, S.2009-08-202009-08-2020051073-7928https://hdl.handle.net/2445/9175We prove a Poincare lemma for a set of r smooth functions on a 2n-dimensional smooth manifold satisfying a commutation relation determined by r singular vector fields associated to a Cartan subalgebra of $\frak{sp}(2r,\mathbb R)$. This result has a natural interpretation in terms of the cohomology associated to the infinitesimal deformation of a completely integrable system.19 p.application/pdfeng(c) Duke University Press, 2005Formes diferencialsGeometria algebraicaPoincaré lemmaDifferential formsinfo:eu-repo/semantics/article522724info:eu-repo/semantics/openAccess